0.95x+0.5(4-x)=.10(38)

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Solution for 0.95x+0.5(4-x)=.10(38) equation:


Simplifying
0.95x + 0.5(4 + -1x) = 0.10(38)
0.95x + (4 * 0.5 + -1x * 0.5) = 0.10(38)
0.95x + (2 + -0.5x) = 0.10(38)

Reorder the terms:
2 + 0.95x + -0.5x = 0.10(38)

Combine like terms: 0.95x + -0.5x = 0.45x
2 + 0.45x = 0.10(38)

Multiply 0.10 * 38
2 + 0.45x = 3.8

Solving
2 + 0.45x = 3.8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 0.45x = 3.8 + -2

Combine like terms: 2 + -2 = 0
0 + 0.45x = 3.8 + -2
0.45x = 3.8 + -2

Combine like terms: 3.8 + -2 = 1.8
0.45x = 1.8

Divide each side by '0.45'.
x = 4

Simplifying
x = 4

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